Dynamic analysis of competition model between SARS-CoV-2 virus and immune system with vaccination

Prihantini, Prihantini

Background and aims: The competition model of the COVID-19 virus and effector cells without and with vaccination is a two-cell interaction model that takes the form of a non-linear system of differential equations. The presence of vaccination may affect the behavior of the number of both cell populations. Based on the above problems, this study aims to analyze the stability of the equilibrium point of the differential equation model system and determine the dynamics of effector cells by the COVID-19 virus without and with vaccination. But before that, in order to know the origin of the formation of the model, the model of the process of attacking the COVID-19 virus on the body's immunity will be analyzed. Methods: This study uses library research by presenting scientific reasoning arguments that describe the results of the literature review and the results of the researchers' thinking regarding the problem of the COVID-19 virus model and effector cells. Results: The results of this study indicate that the difference in parameter values causes differences in the stability of the infection-free equilibrium point, but remains stable for the infected equilibrium point in the model without vaccination. Meanwhile, the presence of vaccination, with a fairly small value, has a significant effect on the behavior of both of them. Conclusions: And several types of vaccinations and changes in parameter values formed varied viral behavior, namely the logistic model and the chaotic model.